Question
In: Math
A linear cost function is C(x) = 7x + 800. (Assume C is measured in dollars.)...
A linear cost function is
C(x) = 7x + 800. (Assume C is measured in dollars.)
(a) What are the slope and the C-intercept?
| slope | |
| C-intercept |
(b) What is the marginal cost
MC ?
MC =
What does the marginal cost mean?
If production is increased by this many units, the cost decreases by $1.Each additional unit produced reduces the cost by this much (in dollars). If production is increased by this many units, the cost increases by $1.Each additional unit produced costs this much (in dollars).
(c) What are the fixed costs?
$
(d) How are your answers to parts (a), (b), and (c) related?
slope = fixed costs, and C-intercept = marginal cost
| C-intercept |
| slope |
= marginal cost
| slope |
| C-intercept |
= marginal costslope = marginal cost, and C-intercept =
fixed costs
(e) What is the cost of producing one more item if 50 are
currently being produced?
$
What is the cost of producing one more item if 100 are
currently being produced?
Solutions
milcah answered 2 years agoRelated Solutions
The demand function for a particular product is given by D(x)=3x2−7x+110‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√D(x)=3x2−7x+110 dollars, where x is the...
The demand function for a particular product is given by
D(x)=3x2−7x+110‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√D(x)=3x2−7x+110 dollars, where x is
the number of units sold. What is the marginal revenue when 44
items are sold? Round your answer to 2 decimal places.
D(x)=3x2−7x+110‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√t
thats a suqare root over the numbers
If the total cost function for a product is C(x) = 8(x + 5)^3 dollars, where...
If the total cost function for a product is C(x) = 8(x + 5)^3
dollars, where x represents the number of hundreds of units
produced, producing how many units will minimize average cost? x =
hundred units
Find the minimum average cost per hundred units. $
In a competitive market the cost function is given by: C(q) = 800 + 40q +...
In a competitive market the cost function is given by: C(q) =
800 + 40q + 2q 2 . Demand is given by QD = 520 − p.
(a) What is a firm’s marginal cost?
(b) Below which price should a firm shut down in the short
run?
(c) In the short run there are 28 firms. How much does each firm
sell?
(d) Below which price should a firm shut down in the long
run?
(e) What is the...
Find the cost function if the marginal cost function is given by C' (x) = x^1/3...
Find the cost function if the marginal cost function is given by
C' (x) = x^1/3 +9 and 27 units cost $415.
C(x) =
Consider the following function: f(x) = -5x3 + 180x2 – 7x – 50
Consider the following function: f(x)
= -5x3 + 180x2 – 7x – 50 a.) Solve for the “inflection
point” of this function ( show your work). b.) Solve for f ''(5) (
i.e., find the second derivative for the function if x = 5 ;
show your
work). c.) Is x = 5 in the concave region
of the graph of this function OR in the convex region of
the graph of this function ( i.e., choose “ concave” or
“convex”)? Briefly
explain how your answer to b.) is...
A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x...
A manufacturer of tennis rackets finds that the total cost
C(x) (in dollars) of manufacturing x
rackets/day is given by
C(x) = 900 + 3x + 0.0003x2.
Each racket can be sold at a price of p dollars, where
p is related to x by the demand equation
p = 5 − 0.0002x.
If all rackets that are manufactured can be sold, find the daily
level of production that will yield a maximum profit for the
manufacturer. Hint: The revenue...
The cost, in dollars, of producing x belts is given by C(x)=822 + 14x - 0.075x2....
The cost, in dollars, of producing x belts is given by
C(x)=822 + 14x - 0.075x2. Find the rate at which average
cost is changing when 256 belts have been produced.
When 256 belts have been produced, the average cost is changing
at _____, dollars per belt or belt per dollars(choose one please)
for each additonal belt.
Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...
Let R(x), C(x), and P(x) be, respectively, the revenue, cost,
and profit, in dollars, from the production and sales of x items.
If R(x) = 6x and C(x) = 0.004x^2+2.7x+70, find each of the
following:
a) P(x) =
b) R(150), C(150), and P(150)
c)R'(x), C'(x), P'(x)
d) R'(150), C'(150), and P'(150)
Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...
Let R(x), C(x), and P(x) be, respectively, the revenue, cost,
and profit, in dollars, from the production and sale of x items. If
R(x) = 6x and C(x) = 0.005x^2 + 2.5x + 40, find each of the
following.
a) P(x)
b) R(150), C(150), and P(150)
c) R'(x), C'(x), and P'(x)
d) R'(150), C'(150), and P'(150)
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Description Write a program that prints out your name, the course ID of this class, what...
- A project has an initial cost of $65,475, expected net cash inflows of $12,000 per year...
- Make a program that lets the user enter a positive or negative integer as many times...
- using java, parse a text file to be able to list the word(s) with the highest...
- Consider the following linear programming problem: Maximize 10X + 8Y Subject to: 40X + 24Y <=...
- Gladstone Company tracks the number of units purchased and sold throughout each accounting period but applies...
- Think about a company you have worked for, either currently or in the past. Reflect upon...
ADVERTISEMENT